What is factor e^{3/2}-1 ?

The solution to factor e^{3/2}-1 is (sqrt(e)-1)(e+sqrt(e)+1)

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factor e^{3/2}-1

factor

e^{\frac{3}{2}} - 1

(e - 1) (e + e + 1)

Solution steps

e^{\frac{3}{2}} - 1

Rewrite

e^{\frac{3}{2}}

(e)^{3}

= (e)^{3} - 1

Rewrite

1

1^{3}

= (e)^{3} - 1^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(e)^{3} - 1^{3} = (e - 1) ((e)^{2} + e + 1)

= (e - 1) ((e)^{2} + e + 1)

(e - 1) ((e)^{2} + e + 1) = (e - 1) (e + e + 1)

= (e - 1) (e + e + 1)

100 + 4 x + 200 d x

(x - 1)^{2}

- (81 \frac{1}{2})

16 x^{2} 9

x^{(2)} - 6 x + 3

What is factor e^{3/2}-1 ?
The solution to factor e^{3/2}-1 is (sqrt(e)-1)(e+sqrt(e)+1)